{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c2b7da21-f761-4b32-9b9e-f8985e2f8dc9",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "# 聊聊NumPy\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b7fd0dce-2785-492d-8c71-40feddea5500",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "from matplotlib import cm \n",
    "\n",
    "import os\n",
    "\n",
    "# 如果文件夹不存在，创建文件夹\n",
    "if not os.path.isdir(\"Figures\"):\n",
    "    os.makedirs(\"Figures\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "935155c5-46b4-4889-913f-f7c5f7c1f071",
   "metadata": {},
   "source": [
    "## 自定义可视化函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d4df62e5-871e-405d-8218-6f0bd2cf4265",
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_2D(array, title, vmax, vmin):\n",
    "    \n",
    "    fig_width  = math.ceil(array.shape[1] * 0.5)\n",
    "    fig_length = math.ceil(array.shape[0] * 0.5)\n",
    "    \n",
    "    fig, ax = plt.subplots(figsize=(fig_width, fig_length))\n",
    "    # 注意，seaborn.heatmap() 目前只能接受2D数组\n",
    "    # 本书中，一维数组可视化时用圆圈\n",
    "    # 可视化时，只有二维、三维数组用方块\n",
    "    \n",
    "    sns.heatmap(array, \n",
    "                vmax = vmax,\n",
    "                vmin = vmin,\n",
    "                annot = True,      # 增加注释\n",
    "                fmt = \".0f\",       # 注释数值的格式\n",
    "                square = True,     # 热图方格为正方形\n",
    "                cmap = 'RdYlBu_r', # 指定色谱\n",
    "                linewidths = .5,   # 方格线宽\n",
    "                cbar = False,      # 不显示色谱条\n",
    "                yticklabels=False, # 不显示纵轴标签\n",
    "                xticklabels=False, # 不显示横轴标签\n",
    "                ax = ax)           # 指定绘制热图的轴\n",
    "    \n",
    "    fig.savefig('Figures/' + title + '.svg', format='svg')\n",
    "\n",
    "# 定义绘制一元数组可视化函数\n",
    "\n",
    "def visualize_1D(array, title):\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    colors = cm.RdYlBu_r(np.linspace(0,1,len(array)))\n",
    "\n",
    "    for idx in range(len(array)):\n",
    "\n",
    "        circle_idx = plt.Circle((idx, 0), 0.5, facecolor=colors[idx], edgecolor = 'w')\n",
    "        ax.add_patch(circle_idx)\n",
    "        ax.text(idx, 0, s = str(array[idx]),\n",
    "                horizontalalignment = 'center',\n",
    "                verticalalignment = 'center')\n",
    "\n",
    "    ax.set_xlim(-0.6, 0.6 + len(array))\n",
    "    ax.set_ylim(-0.6, 0.6)\n",
    "    ax.set_aspect('equal', adjustable='box')\n",
    "    ax.axis('off')\n",
    "    fig.savefig('Figures/' + title + '.svg', format='svg')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c39fe25a-c8d8-41b4-8051-982538c46f7c",
   "metadata": {},
   "source": [
    "## 手动"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a17f8e67-0ade-44fd-9149-deea95556e4d",
   "metadata": {},
   "source": [
    "### 一维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "51ab495d-f96b-4f57-807a-e0145fa142de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-3, -2, -1,  0,  1,  2,  3])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D = np.array([-3, -2, -1, 0, 1, 2, 3])\n",
    "a_1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "85492ce3-2e4e-42ae-a5eb-094820ac40a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7,)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3ea8e56c-c067-42a5-8a37-ef9d06e6ad25",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_1D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2e64d64d-f0ad-4c2f-af1a-f3f0fe3f7cc8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d84502fc-befe-4faf-9aa0-5ddda984d329",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "73132f47-7704-4872-8736-f0b5e79d6800",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_1D(a_1D, '手动，一维')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81449350-1908-4a7c-87db-6ab5edf9b72e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-3"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 取出第一个元素\n",
    "a_1D[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "fa87183d-34ff-4623-9e25-291674224856",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 取出最后一个元素\n",
    "a_1D[-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "742a1248-073a-4269-9684-87efa4c9b112",
   "metadata": {},
   "source": [
    "### 二维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "8c018b30-9bf3-4e9e-a14b-362296c14cda",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3, -2, -1],\n",
       "       [ 0,  1,  2]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D = np.array([[-3, -2, -1],\n",
    "                 [0,  1,  2]])\n",
    "a_2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "dfce8a4a-ee7c-4713-862d-7bb351286842",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_2D, '手动，二维', 3, -3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cf21c0de-4d9a-41b2-89dd-0193cb9f50f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9cff456a-feab-49ae-903e-052de75f897d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.shape[0]\n",
    "# 行数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "95987c06-7ef4-4e80-bae6-ce1dedea2c8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.shape[1]\n",
    "# 列数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4943260c-0eb7-46e5-ab22-ac450521115b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8fd772a3-129a-4d71-aec5-378c53205705",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "14bc377f-62db-4101-a741-88c7e12470f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_2D)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "644b5d4c-be85-4a41-8541-9c0a99e8ab3f",
   "metadata": {},
   "source": [
    "### 二维，行向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "e21140ad-43c9-4917-8949-bb53e3158465",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3, -2, -1,  0,  1,  2,  3]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector = np.array([[-3, -2, -1, 0, 1, 2, 3]])\n",
    "# 两层中括号\n",
    "a_row_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "07e21a10-59fc-4dc4-91bf-93b3f9338708",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_row_vector, '手动，行向量', 3, -3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "54d69d2e-a463-40c4-877b-133f172591ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 7)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "9167d8c3-977d-4a47-9582-26cf473bce68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "8fe5e1cb-0388-4fec-bce6-92b19fd6a0b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_row_vector)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "40f0dbc4-d3f3-4458-a5de-73f659b499a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector.size"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0030d8c7-bfe7-451f-bf7d-79a9aa96f107",
   "metadata": {},
   "source": [
    "### 二维，列向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ab2a007c-98b0-4fe3-8b87-3e71f1c84ffb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3],\n",
       "       [-2],\n",
       "       [-1],\n",
       "       [ 0],\n",
       "       [ 1],\n",
       "       [ 2],\n",
       "       [ 3]])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector = np.array([[-3], [-2], [-1], [0], [1], [2], [3]])\n",
    "a_col_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ae354224-522c-44da-8395-f24f60375e53",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 100x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_col_vector, '手动，列向量', 3, -3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "8261480c-5e6b-43e1-aceb-682a99c72ca0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7, 1)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "b7447400-1cfa-4b57-b549-eaec8cad05c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "12365641-c0c8-4315-afe4-df72f43f9cbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "baef27ce-aec7-44d7-bf68-6073b3293f5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_col_vector)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63a1a443-52bc-4f8c-b0e5-35a6ae8d3d5f",
   "metadata": {},
   "source": [
    "### 三维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "cd4200fc-eef5-4d0a-8f1a-7e71f5c7b849",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-12, -11, -10,  -9],\n",
       "        [ -8,  -7,  -6,  -5],\n",
       "        [ -4,  -3,  -2,  -1]],\n",
       "\n",
       "       [[  0,   1,   2,   3],\n",
       "        [  4,   5,   6,   7],\n",
       "        [  8,   9,  10,  11]]])"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D = np.array([[[-12, -11, -10, -9],\n",
    "                  [-8,  -7,  -6,  -5],\n",
    "                  [-4,  -3,  -2,  -1]],\n",
    "                 [[0,   1,   2,   3],\n",
    "                  [4,   5,   6,   7],\n",
    "                  [8,   9,   10,  11]]])\n",
    "a_3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6a448429-9f68-4d84-894d-00ad976efdcc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3, 4)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "b2ebfd6f-ba9e-4dbd-b196-62473beac54e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "23b72d4a-9045-472f-a8a9-046c0eaed3b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-12, -11, -10,  -9],\n",
       "       [ -8,  -7,  -6,  -5],\n",
       "       [ -4,  -3,  -2,  -1]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "6610972f-e3d5-4cae-852e-619a23096ee2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_3D[0], '手动，三维，第一页', 12, -12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "fe9cf115-3841-41c8-a9f3-3981f58cc162",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 4)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D[0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "339265e0-22e5-44fe-bf1a-fd820608409f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2,  3],\n",
       "       [ 4,  5,  6,  7],\n",
       "       [ 8,  9, 10, 11]])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "5f84761d-a1d7-465d-abc6-1511b3190496",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_3D[1], '手动，三维，第二页', 12, -12)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "546485bc-37e1-4dbf-81a0-50bb42109012",
   "metadata": {},
   "source": [
    "### 三维，行向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "7d142749-f33b-40cd-9e88-4e1be32b5b08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-3, -2, -1,  0,  1,  2,  3]]])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector_3D = np.array([[[-3, -2, -1, 0, 1, 2, 3]]])\n",
    "a_row_vector_3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "e75555ea-7906-42e7-b0e3-40c77ae1a6b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 1, 7)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector_3D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "64eef44a-6e02-4ea6-90a5-463da47707f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector_3D.ndim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5c3ae28-14df-4864-92ab-b5d696f80d33",
   "metadata": {},
   "source": [
    "## list 到数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "e42c9e67-1059-4de2-9307-f095afdef9b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-3, -2, -1, 0, 1, 2, 3]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list_1D = [-3, -2, -1, 0, 1, 2, 3]\n",
    "list_1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "928f4859-8baf-45d7-8429-27af827c3b50",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-3, -2, -1,  0,  1,  2,  3])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(list_1D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5e913273-f6f7-4f9a-a47b-afd925078742",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[-3, -2, -1, 0, 1, 2, 3]]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list_2D = [[-3, -2, -1, 0, 1, 2, 3]]\n",
    "list_2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "bf9a26b0-0233-4a95-88e5-1dd9c9e2e13a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3, -2, -1,  0,  1,  2,  3]])"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(list_2D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "e92e190b-1807-4d01-ab65-6f209a4eef5e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[[-3, -2, -1, 0, 1, 2, 3]]]"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list_3D = [[[-3, -2, -1, 0, 1, 2, 3]]]\n",
    "list_3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "e35392dc-5741-4e8b-97aa-48f6ebbacc33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-3, -2, -1,  0,  1,  2,  3]]])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(list_3D)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c1884bd-53ed-4a8e-9dca-cfee0cdc7086",
   "metadata": {},
   "source": [
    "## 数列"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "183e2c9c-3263-46f8-8e52-2b81aa9729b3",
   "metadata": {},
   "source": [
    "### 使用numpy.arange()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "66e0e450-c791-4506-b3cf-df3eb1ad4d3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "3979a571-8b53-4ff1-8a88-3e6ab81e3ee7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 1., 2., 3., 4.])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(5, dtype = float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "9dfd766c-a388-47d4-ae8e-29b2a586cb09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(10,20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "8b29fa64-4c33-43d3-9123-42e3731b97bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 12, 14, 16, 18])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(10,20,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "98d7a169-b97b-48a0-8d5d-32c4404dfe2a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10., 12., 14., 16., 18.])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(10,20,2, dtype = float)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6003293c-8489-4664-b444-667b5ebebae0",
   "metadata": {},
   "source": [
    "### 使用numpy.linspace()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "707f20f6-d141-4ca4-8f97-bc418ca6f15c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0. ,  0.5,  1. ,  1.5,  2. ,  2.5,  3. ,  3.5,  4. ,  4.5,  5. ,\n",
       "        5.5,  6. ,  6.5,  7. ,  7.5,  8. ,  8.5,  9. ,  9.5, 10. ])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linspace(0, 10, 21) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3200d7d-cec8-4eae-b0b9-98d8357451a2",
   "metadata": {},
   "source": [
    "### 使用numpy.logspace()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "0a89dccf-092b-402e-9392-c8cccedb78f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.e+00, 1.e+01, 1.e+02, 1.e+03, 1.e+04])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.logspace(0, 4, 5, base=10) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "b5493d9e-6948-468a-84ea-0a3ca6a5b3cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.,  2.,  4.,  8., 16.])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.logspace(0, 4, 5, base=2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "fbf55ca2-76d0-4ff9-ba48-ed073c35bcb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 4, 9, 16, 25, 36, 49]"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[n**2 for n in np.arange(8)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d467a732-1c65-4c03-8f37-313e035e0458",
   "metadata": {},
   "source": [
    "## 网格数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "664acacf-18e2-45eb-844d-2049b57d09cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(21, 21)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x1_array = np.linspace(-3, 3, 21)\n",
    "x2_array = np.linspace(-3, 3, 21)\n",
    "\n",
    "xx1, xx2 = np.meshgrid(x1_array, x2_array)\n",
    "# 二元函数\n",
    "ff = xx1 * np.exp(-xx1**2 - xx2**2)\n",
    "print(xx1.shape)\n",
    "\n",
    "# 可视化\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "ax.plot_wireframe(xx1, xx2, ff, rstride=1, cstride=1, color = 'grey')\n",
    "ax.scatter(xx1, xx2, ff, c = ff, cmap = 'RdYlBu_r')\n",
    "ax.set_proj_type('ortho') \n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "f08d34a1-658d-4f6f-958b-cb7b56094fea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ],\n",
       "       [-3. , -2.7, -2.4, -2.1, -1.8, -1.5, -1.2, -0.9, -0.6, -0.3,  0. ,\n",
       "         0.3,  0.6,  0.9,  1.2,  1.5,  1.8,  2.1,  2.4,  2.7,  3. ]])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "461a7a3f-846f-48bc-8dad-6f498c82c908",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(21, 21)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "ce0f9491-88a8-4eb1-930c-06a77ae8e212",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx1.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "e9bc8ce2-8341-4e9a-b5a7-0f040f4d13ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3. , -3. , -3. , -3. , -3. , -3. , -3. , -3. , -3. , -3. , -3. ,\n",
       "        -3. , -3. , -3. , -3. , -3. , -3. , -3. , -3. , -3. , -3. ],\n",
       "       [-2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7,\n",
       "        -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7],\n",
       "       [-2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4,\n",
       "        -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4, -2.4],\n",
       "       [-2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1,\n",
       "        -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1, -2.1],\n",
       "       [-1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8,\n",
       "        -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8, -1.8],\n",
       "       [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5,\n",
       "        -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5],\n",
       "       [-1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2,\n",
       "        -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2, -1.2],\n",
       "       [-0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9,\n",
       "        -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9, -0.9],\n",
       "       [-0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6,\n",
       "        -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6, -0.6],\n",
       "       [-0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3,\n",
       "        -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3, -0.3],\n",
       "       [ 0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,\n",
       "         0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ,  0. ],\n",
       "       [ 0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,\n",
       "         0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3,  0.3],\n",
       "       [ 0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,\n",
       "         0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6,  0.6],\n",
       "       [ 0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,\n",
       "         0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9,  0.9],\n",
       "       [ 1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,\n",
       "         1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2,  1.2],\n",
       "       [ 1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,\n",
       "         1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5,  1.5],\n",
       "       [ 1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,\n",
       "         1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8,  1.8],\n",
       "       [ 2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,\n",
       "         2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1,  2.1],\n",
       "       [ 2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,\n",
       "         2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4,  2.4],\n",
       "       [ 2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,\n",
       "         2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7,  2.7],\n",
       "       [ 3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,\n",
       "         3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ,  3. ]])"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "d9844cbb-d9ce-484c-a27d-1ec6cdfb67a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "xxx1, xxx2, xxx3 = np.meshgrid(np.arange(6), np.arange(6), np.arange(6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "de38b81c-e23d-44d1-afdd-20394665e7fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]]])"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xxx1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "f1e45f59-a3b6-40d1-86a6-fe7e2e0b3c94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 6, 6)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xxx1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "f3245f1a-1762-4138-9e91-5aa75218748c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xxx1.ndim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e48ac2a-1bcd-4f7e-849e-a5d35c58d82b",
   "metadata": {},
   "source": [
    "### 特殊矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "86b2bd20-841e-4edf-b5f1-46fc0c17f27d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2.99922218e-01,  1.73160174e-01,  0.00000000e+00,\n",
       "        -3.33066907e-16],\n",
       "       [-8.65800868e-02,  1.49961109e-01,  1.61207752e+00,\n",
       "        -1.33226763e-15],\n",
       "       [-1.49961109e-01,  2.59740260e-01, -9.30733388e-01,\n",
       "         2.00000000e+01],\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n",
       "         2.00000000e+01]])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.empty([4,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "e75b19e3-a92b-4c22-b6f0-80dbd59b14b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.        ,   0.        , 416.07303155, 389.84756075])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.empty(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "1e0e1c37-9690-47e7-9de0-e5f490ad37e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 2],\n",
       "       [3, 4, 5]])"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.empty_like(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "100f04a0-37b3-415a-8682-2e728a887d96",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0., 0., 0.],\n",
       "       [0., 1., 0., 0., 0.],\n",
       "       [0., 0., 1., 0., 0.],\n",
       "       [0., 0., 0., 1., 0.],\n",
       "       [0., 0., 0., 0., 1.]])"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.eye(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "158a1b55-e082-4383-a32b-b9b1d19ec599",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[inf, inf, inf],\n",
       "       [inf, inf, inf],\n",
       "       [inf, inf, inf]])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.full((3,3), np.inf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "6395d0ed-64d1-45e3-aff5-3d2039a2db95",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[100, 100, 100],\n",
       "       [100, 100, 100]])"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.full_like(A, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "ea4825ab-c05b-4e50-91e2-6830509277ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., 1., 1.])"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "a26cdda9-5b4f-4f08-b6e2-174935538bbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.]])"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones((5,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "bf89a70f-4df8-4dc4-b798-8aa6802ad7dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 1, 1],\n",
       "       [1, 1, 1]])"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.ones_like(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "a335d322-dbb3-44d4-b7bb-5e66a42a287e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0., 0.])"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "982daab3-2c8b-42f8-ba40-34bcc58a4abf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros((5,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "e9372cea-1cb4-4902-b528-d466a79b6f3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 0, 0],\n",
       "       [0, 0, 0]])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.zeros_like(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b2da4c6-19b9-469f-b04d-e5d5f5adfca8",
   "metadata": {},
   "source": [
    "## 随机数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6ac1596-c290-4479-86ee-19eaa1362c69",
   "metadata": {},
   "source": [
    "### 二元连续均匀随机数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "18c00780-0c15-47c5-a300-e296e201b973",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axis.YTick at 0x1c91baa7460>,\n",
       " <matplotlib.axis.YTick at 0x1c91baa6e60>,\n",
       " <matplotlib.axis.YTick at 0x1c91baa5de0>]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成随机数，服从连续均匀分布\n",
    "num = 2000\n",
    "X_uniform = np.random.uniform(low=-3, high=3, size=(num,2))\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (5,5))\n",
    "ax.scatter(X_uniform[:,0],  # 散点横轴坐标\n",
    "           X_uniform[:,1],  # 散点纵轴坐标\n",
    "           s = 100,         # 散点大小\n",
    "           marker = '.',    # 散点marker样式\n",
    "           alpha = 0.5,     # 透明度\n",
    "           edgecolors = 'w')# 散点边缘颜色\n",
    "\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xlim(-3, 3)\n",
    "ax.set_ylim(-3, 3)\n",
    "ax.set_xticks((-3,0,3))\n",
    "ax.set_yticks((-3,0,3))\n",
    "# fig.savefig('Figures/二元连续均匀随机数.svg', format='svg')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41b2a3b6-b6c6-4737-a9ae-57f70ff88df9",
   "metadata": {},
   "source": [
    "### 二元正态分布随机数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "d10ebe08-27fd-4dcb-b5be-8e8ac669e437",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axis.YTick at 0x1c91ba4c6d0>,\n",
       " <matplotlib.axis.YTick at 0x1c91ba4e470>,\n",
       " <matplotlib.axis.YTick at 0x1c91ba4f280>]"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成随机数，服从二元高斯分布\n",
    "num = 2000\n",
    "\n",
    "mu    = np.array([0, 0])    # 质心\n",
    "rho   = 0  # 相关性系数\n",
    "Sigma = np.array([[1, rho], \n",
    "                  [rho, 1]])  # 协方差矩阵\n",
    "\n",
    "X_binormal = np.random.multivariate_normal(mu, Sigma, size=num)\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (5,5))\n",
    "ax.scatter(X_binormal[:,0], \n",
    "           X_binormal[:,1], \n",
    "           s = 100, \n",
    "           marker = '.', \n",
    "           alpha = 0.5, \n",
    "           edgecolors = 'w')\n",
    "\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "ax.set_xlim(-3, 3)\n",
    "ax.set_ylim(-3, 3)\n",
    "ax.set_xticks((-3,0,3))\n",
    "ax.set_yticks((-3,0,3))\n",
    "# fig.savefig('Figures/二元正态分布随机数.svg', format='svg')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55a2230e-33d4-4e2b-8c3c-52e403fdf61b",
   "metadata": {},
   "source": [
    "## CSV文件导出、导入"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "26511073-c137-46d3-9512-e5a7de137a91",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.datasets import load_iris\n",
    "from numpy import genfromtxt\n",
    "\n",
    "# 导入鸢尾花数据\n",
    "iris = load_iris()\n",
    "# 将numpy array存成CSV文件\n",
    "np.savetxt(\"Iris_data.csv\", iris.data, delimiter=\",\")\n",
    "\n",
    "# 将 CSV 文件读入存成numpy array\n",
    "Iris_Data_array = genfromtxt('Iris_data.csv', delimiter=',')\n",
    "\n",
    "# 可视化\n",
    "fig, ax = plt.subplots(figsize = (5,5))\n",
    "sns.heatmap(Iris_Data_array,   # 鸢尾花数据数组\n",
    "            cmap = 'RdYlBu_r', # 指定色谱\n",
    "            ax = ax,           # 指定轴\n",
    "            vmax = 8,          # 色谱最大值\n",
    "            vmin = 0,          # 色谱最小值\n",
    "            xticklabels = [],  # 不显示横轴标签\n",
    "            yticklabels = [],  # 不显示纵轴标签\n",
    "            cbar = True)       # 显示色谱条"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "5a02c0dc-78dc-4523-8059-e5feae5384ea",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5.1, 3.5, 1.4, 0.2],\n",
       "       [4.9, 3. , 1.4, 0.2],\n",
       "       [4.7, 3.2, 1.3, 0.2],\n",
       "       [4.6, 3.1, 1.5, 0.2],\n",
       "       [5. , 3.6, 1.4, 0.2],\n",
       "       [5.4, 3.9, 1.7, 0.4],\n",
       "       [4.6, 3.4, 1.4, 0.3],\n",
       "       [5. , 3.4, 1.5, 0.2],\n",
       "       [4.4, 2.9, 1.4, 0.2],\n",
       "       [4.9, 3.1, 1.5, 0.1],\n",
       "       [5.4, 3.7, 1.5, 0.2],\n",
       "       [4.8, 3.4, 1.6, 0.2],\n",
       "       [4.8, 3. , 1.4, 0.1],\n",
       "       [4.3, 3. , 1.1, 0.1],\n",
       "       [5.8, 4. , 1.2, 0.2],\n",
       "       [5.7, 4.4, 1.5, 0.4],\n",
       "       [5.4, 3.9, 1.3, 0.4],\n",
       "       [5.1, 3.5, 1.4, 0.3],\n",
       "       [5.7, 3.8, 1.7, 0.3],\n",
       "       [5.1, 3.8, 1.5, 0.3],\n",
       "       [5.4, 3.4, 1.7, 0.2],\n",
       "       [5.1, 3.7, 1.5, 0.4],\n",
       "       [4.6, 3.6, 1. , 0.2],\n",
       "       [5.1, 3.3, 1.7, 0.5],\n",
       "       [4.8, 3.4, 1.9, 0.2],\n",
       "       [5. , 3. , 1.6, 0.2],\n",
       "       [5. , 3.4, 1.6, 0.4],\n",
       "       [5.2, 3.5, 1.5, 0.2],\n",
       "       [5.2, 3.4, 1.4, 0.2],\n",
       "       [4.7, 3.2, 1.6, 0.2],\n",
       "       [4.8, 3.1, 1.6, 0.2],\n",
       "       [5.4, 3.4, 1.5, 0.4],\n",
       "       [5.2, 4.1, 1.5, 0.1],\n",
       "       [5.5, 4.2, 1.4, 0.2],\n",
       "       [4.9, 3.1, 1.5, 0.2],\n",
       "       [5. , 3.2, 1.2, 0.2],\n",
       "       [5.5, 3.5, 1.3, 0.2],\n",
       "       [4.9, 3.6, 1.4, 0.1],\n",
       "       [4.4, 3. , 1.3, 0.2],\n",
       "       [5.1, 3.4, 1.5, 0.2],\n",
       "       [5. , 3.5, 1.3, 0.3],\n",
       "       [4.5, 2.3, 1.3, 0.3],\n",
       "       [4.4, 3.2, 1.3, 0.2],\n",
       "       [5. , 3.5, 1.6, 0.6],\n",
       "       [5.1, 3.8, 1.9, 0.4],\n",
       "       [4.8, 3. , 1.4, 0.3],\n",
       "       [5.1, 3.8, 1.6, 0.2],\n",
       "       [4.6, 3.2, 1.4, 0.2],\n",
       "       [5.3, 3.7, 1.5, 0.2],\n",
       "       [5. , 3.3, 1.4, 0.2],\n",
       "       [7. , 3.2, 4.7, 1.4],\n",
       "       [6.4, 3.2, 4.5, 1.5],\n",
       "       [6.9, 3.1, 4.9, 1.5],\n",
       "       [5.5, 2.3, 4. , 1.3],\n",
       "       [6.5, 2.8, 4.6, 1.5],\n",
       "       [5.7, 2.8, 4.5, 1.3],\n",
       "       [6.3, 3.3, 4.7, 1.6],\n",
       "       [4.9, 2.4, 3.3, 1. ],\n",
       "       [6.6, 2.9, 4.6, 1.3],\n",
       "       [5.2, 2.7, 3.9, 1.4],\n",
       "       [5. , 2. , 3.5, 1. ],\n",
       "       [5.9, 3. , 4.2, 1.5],\n",
       "       [6. , 2.2, 4. , 1. ],\n",
       "       [6.1, 2.9, 4.7, 1.4],\n",
       "       [5.6, 2.9, 3.6, 1.3],\n",
       "       [6.7, 3.1, 4.4, 1.4],\n",
       "       [5.6, 3. , 4.5, 1.5],\n",
       "       [5.8, 2.7, 4.1, 1. ],\n",
       "       [6.2, 2.2, 4.5, 1.5],\n",
       "       [5.6, 2.5, 3.9, 1.1],\n",
       "       [5.9, 3.2, 4.8, 1.8],\n",
       "       [6.1, 2.8, 4. , 1.3],\n",
       "       [6.3, 2.5, 4.9, 1.5],\n",
       "       [6.1, 2.8, 4.7, 1.2],\n",
       "       [6.4, 2.9, 4.3, 1.3],\n",
       "       [6.6, 3. , 4.4, 1.4],\n",
       "       [6.8, 2.8, 4.8, 1.4],\n",
       "       [6.7, 3. , 5. , 1.7],\n",
       "       [6. , 2.9, 4.5, 1.5],\n",
       "       [5.7, 2.6, 3.5, 1. ],\n",
       "       [5.5, 2.4, 3.8, 1.1],\n",
       "       [5.5, 2.4, 3.7, 1. ],\n",
       "       [5.8, 2.7, 3.9, 1.2],\n",
       "       [6. , 2.7, 5.1, 1.6],\n",
       "       [5.4, 3. , 4.5, 1.5],\n",
       "       [6. , 3.4, 4.5, 1.6],\n",
       "       [6.7, 3.1, 4.7, 1.5],\n",
       "       [6.3, 2.3, 4.4, 1.3],\n",
       "       [5.6, 3. , 4.1, 1.3],\n",
       "       [5.5, 2.5, 4. , 1.3],\n",
       "       [5.5, 2.6, 4.4, 1.2],\n",
       "       [6.1, 3. , 4.6, 1.4],\n",
       "       [5.8, 2.6, 4. , 1.2],\n",
       "       [5. , 2.3, 3.3, 1. ],\n",
       "       [5.6, 2.7, 4.2, 1.3],\n",
       "       [5.7, 3. , 4.2, 1.2],\n",
       "       [5.7, 2.9, 4.2, 1.3],\n",
       "       [6.2, 2.9, 4.3, 1.3],\n",
       "       [5.1, 2.5, 3. , 1.1],\n",
       "       [5.7, 2.8, 4.1, 1.3],\n",
       "       [6.3, 3.3, 6. , 2.5],\n",
       "       [5.8, 2.7, 5.1, 1.9],\n",
       "       [7.1, 3. , 5.9, 2.1],\n",
       "       [6.3, 2.9, 5.6, 1.8],\n",
       "       [6.5, 3. , 5.8, 2.2],\n",
       "       [7.6, 3. , 6.6, 2.1],\n",
       "       [4.9, 2.5, 4.5, 1.7],\n",
       "       [7.3, 2.9, 6.3, 1.8],\n",
       "       [6.7, 2.5, 5.8, 1.8],\n",
       "       [7.2, 3.6, 6.1, 2.5],\n",
       "       [6.5, 3.2, 5.1, 2. ],\n",
       "       [6.4, 2.7, 5.3, 1.9],\n",
       "       [6.8, 3. , 5.5, 2.1],\n",
       "       [5.7, 2.5, 5. , 2. ],\n",
       "       [5.8, 2.8, 5.1, 2.4],\n",
       "       [6.4, 3.2, 5.3, 2.3],\n",
       "       [6.5, 3. , 5.5, 1.8],\n",
       "       [7.7, 3.8, 6.7, 2.2],\n",
       "       [7.7, 2.6, 6.9, 2.3],\n",
       "       [6. , 2.2, 5. , 1.5],\n",
       "       [6.9, 3.2, 5.7, 2.3],\n",
       "       [5.6, 2.8, 4.9, 2. ],\n",
       "       [7.7, 2.8, 6.7, 2. ],\n",
       "       [6.3, 2.7, 4.9, 1.8],\n",
       "       [6.7, 3.3, 5.7, 2.1],\n",
       "       [7.2, 3.2, 6. , 1.8],\n",
       "       [6.2, 2.8, 4.8, 1.8],\n",
       "       [6.1, 3. , 4.9, 1.8],\n",
       "       [6.4, 2.8, 5.6, 2.1],\n",
       "       [7.2, 3. , 5.8, 1.6],\n",
       "       [7.4, 2.8, 6.1, 1.9],\n",
       "       [7.9, 3.8, 6.4, 2. ],\n",
       "       [6.4, 2.8, 5.6, 2.2],\n",
       "       [6.3, 2.8, 5.1, 1.5],\n",
       "       [6.1, 2.6, 5.6, 1.4],\n",
       "       [7.7, 3. , 6.1, 2.3],\n",
       "       [6.3, 3.4, 5.6, 2.4],\n",
       "       [6.4, 3.1, 5.5, 1.8],\n",
       "       [6. , 3. , 4.8, 1.8],\n",
       "       [6.9, 3.1, 5.4, 2.1],\n",
       "       [6.7, 3.1, 5.6, 2.4],\n",
       "       [6.9, 3.1, 5.1, 2.3],\n",
       "       [5.8, 2.7, 5.1, 1.9],\n",
       "       [6.8, 3.2, 5.9, 2.3],\n",
       "       [6.7, 3.3, 5.7, 2.5],\n",
       "       [6.7, 3. , 5.2, 2.3],\n",
       "       [6.3, 2.5, 5. , 1.9],\n",
       "       [6.5, 3. , 5.2, 2. ],\n",
       "       [6.2, 3.4, 5.4, 2.3],\n",
       "       [5.9, 3. , 5.1, 1.8]])"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "\n",
    "Iris_Data_array\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "683d3830-3244-4fec-a471-6ac98611f4f4",
   "metadata": {},
   "source": [
    "## 推荐阅读"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8f49fa3-6a70-4e60-88e3-0be933318a76",
   "metadata": {},
   "source": [
    "NumPy最权威的综述，请参考：  \n",
    "https://www.nature.com/articles/s41586-020-2649-2  \n",
    "MATLAB用户，使用NumPy之前请先阅读：  \n",
    "https://numpy.org/doc/stable/user/numpy-for-matlab-users.html  \n",
    "更多NumPy练习题，大家可以参考：  \n",
    "https://github.com/rougier/numpy-100/blob/master/100_Numpy_exercises_with_solutions.md  \n",
    "NumPy中的英文术语：  \n",
    "https://numpy.org/doc/stable/glossary.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "2a76d332-aee9-4e69-b1d7-20b5eac340a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Repo: https://github.com/Visualize-ML\n",
    "# Book 1 Python for Beginners  |  From Basic Arithmetic to Machine Learning\n",
    "# Published and copyrighted by Tsinghua University Press\n",
    "# Beijing, China, 2023"
   ]
  }
 ],
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